import math
import random
from typing import Any

from .hill_climbing import SearchProblem


def 				lowerCAmelCase__       (			a__    ,     a__ = True    ,     a__ = math.inf    ,     a__ = -math.inf    ,     a__ = math.inf    ,     a__ = -math.inf    ,     a__ = False    ,     a__ = 100    ,     a__ = 0.01    ,     a__ = 1    ,     )      ->Any:




  '''simple docstring'''

  _UpperCamelCase           =    False
  _UpperCamelCase           =    search_prob
  _UpperCamelCase           =    start_temperate
  _UpperCamelCase           =    []
  _UpperCamelCase           =    0
  _UpperCamelCase           =    None

  while not search_end:
    _UpperCamelCase           =    current_state.score()
    if best_state is None or current_score > best_state.score():
      _UpperCamelCase           =    current_state
    scores.append(a__ )
    iterations += 1
    _UpperCamelCase           =    None
    _UpperCamelCase           =    current_state.get_neighbors()
    while (
        next_state is None and neighbors
    ):  # till we do not find a neighbor that we can move to
      _UpperCamelCase           =    random.randint(0    ,     len(a__ ) - 1 )  # picking a random neighbor
      _UpperCamelCase           =    neighbors.pop(a__ )
      _UpperCamelCase           =    picked_neighbor.score() - current_score

      if (
          picked_neighbor.x > max_x
          or picked_neighbor.x < min_x
          or picked_neighbor.y > max_y
          or picked_neighbor.y < min_y
      ):
        continue  # neighbor outside our bounds

      if not find_max:
        _UpperCamelCase           =    change * -1  # in case we are finding minimum
      if change > 0:  # improves the solution
        _UpperCamelCase           =    picked_neighbor
      else:
        _UpperCamelCase           =    (math.e) ** (
            change / current_temp
        )  # probability generation function
        if random.random() < probability:  # random number within probability
          _UpperCamelCase           =    picked_neighbor
    _UpperCamelCase           =    current_temp - (current_temp * rate_of_decrease)

    if current_temp < threshold_temp or next_state is None:
      # temperature below threshold, or could not find a suitable neighbor
      _UpperCamelCase           =    True
    else:
      _UpperCamelCase           =    next_state

  if visualization:
    from matplotlib import pyplot as plt

    plt.plot(range(a__ )    ,     a__ )
    plt.xlabel("Iterations" )
    plt.ylabel("Function values" )
    plt.show()
  return best_state


if __name__ == "__main__":


   def 				lowerCAmelCase__       (			a__    ,     a__ )      ->Any:




     '''simple docstring'''

     return (x**2) + (y**2)

   # starting the problem with initial coordinates (12, 47)
   lowerCamelCase__  =					SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
   lowerCamelCase__  =					simulated_annealing(
       prob, find_max=False, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
   )
   print(
       '''The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
       F"and 50 > y > - 5 found via hill climbing: {local_min.score()}"
   )

   # starting the problem with initial coordinates (12, 47)
   lowerCamelCase__  =					SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
   lowerCamelCase__  =					simulated_annealing(
       prob, find_max=True, max_x=100, min_x=5, max_y=50, min_y=-5, visualization=True
   )
   print(
       '''The maximum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
       F"and 50 > y > - 5 found via hill climbing: {local_min.score()}"
   )


   def 				lowerCAmelCase__       (			a__    ,     a__ )      ->str:




     '''simple docstring'''

     return (3 * x**2) - (6 * y)

   lowerCamelCase__  =					SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
   lowerCamelCase__  =					simulated_annealing(prob, find_max=False, visualization=True)
   print(
       '''The minimum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
       F"{local_min.score()}"
   )

   lowerCamelCase__  =					SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
   lowerCamelCase__  =					simulated_annealing(prob, find_max=True, visualization=True)







   print(
       '''The maximum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
       F"{local_min.score()}"
   )





from __future__ import annotations


def 				lowerCAmelCase__       (			a__    ,     a__ )      ->bool:




  '''simple docstring'''

  _UpperCamelCase           =    get_failure_array(a__ )

  # 2) Step through text searching for pattern
  _UpperCamelCase      ,						_UpperCamelCase           =    0, 0  # index into text, pattern
  while i < len(a__ ):
    if pattern[j] == text[i]:
      if j == (len(a__ ) - 1):
        return True
      j += 1

    # if this is a prefix in our pattern
    # just go back far enough to continue
    elif j > 0:
      _UpperCamelCase           =    failure[j - 1]
      continue
    i += 1
  return False


def 				lowerCAmelCase__       (			a__ )      ->list[int]:




  '''simple docstring'''

  _UpperCamelCase           =    [0]
  _UpperCamelCase           =    0
  _UpperCamelCase           =    1
  while j < len(a__ ):
    if pattern[i] == pattern[j]:
      i += 1
    elif i > 0:
      _UpperCamelCase           =    failure[i - 1]
      continue
    j += 1
    failure.append(a__ )
  return failure


if __name__ == "__main__":
   # Test 1)
   lowerCamelCase__  =					'''abc1abc12'''
   lowerCamelCase__  =					'''alskfjaldsabc1abc1abc12k23adsfabcabc'''
   lowerCamelCase__  =					'''alskfjaldsk23adsfabcabc'''
   assert kmp(pattern, texta) and not kmp(pattern, texta)

   # Test 2)
   lowerCamelCase__  =					'''ABABX'''
   lowerCamelCase__  =					'''ABABZABABYABABX'''
   assert kmp(pattern, text)

   # Test 3)
   lowerCamelCase__  =					'''AAAB'''
   lowerCamelCase__  =					'''ABAAAAAB'''
   assert kmp(pattern, text)

   # Test 4)
   lowerCamelCase__  =					'''abcdabcy'''
   lowerCamelCase__  =					'''abcxabcdabxabcdabcdabcy'''
   assert kmp(pattern, text)

   # Test 5)
   lowerCamelCase__  =					'''aabaabaaa'''
   assert get_failure_array(pattern) == [0, 1, 0, 1, 2, 3, 4, 5, 2]




